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Q1. Obtain the state-space representation for the following linear systems: 22 (2+0.5) (-0.4)(=-0.2)(2+0.8) i) Please represent...
a-obtain state space representation b-obtain system eigen values c-diagnolize the system Question (3: (10 Marks) For...
a-obtain state space representation
b-obtain system eigen values
c-diagnolize the system
Question (3: (10 Marks) For the following system, U(s) s + 5 (s +2) (s +3) s + 1 Obtain a state space representation in the controllable canonical form. (4 marks) b) Obtain the system eigen values, (3 marks) c) Diagonalize the system. (3 marks) a) Page 2 DQMS 2/3
Question (3: (10 Marks) For the following system, U(s) s + 5 (s +2) (s +3) s + 1...
-1,2,3,4,5,63 and transition matrix Consider a discrete time Markov chain with state space S 0.8 0 0 0.2 0 0 0 0.5 00 0.50 0 0 0.3 0.4 0.2 0.1 0.1 0 0 0.9 0 0 0 0.2 0 0 0.8 0 0.1 0 0.4 0 0 0.5 (a) Dr...
-1,2,3,4,5,63 and transition matrix Consider a discrete time Markov chain with state space S 0.8 0 0 0.2 0 0 0 0.5 00 0.50 0 0 0.3 0.4 0.2 0.1 0.1 0 0 0.9 0 0 0 0.2 0 0 0.8 0 0.1 0 0.4 0 0 0.5 (a) Draw the transition probability graph associated to this Markov chain. (b) It is known that 1 is a recurrent state. Identify all other recurrent states. (c) How many recurrence classes are...
3. a) Find a state space representation for a linear system represented by the following differen...
3. a) Find a state space representation for a linear system represented by the following differential equation, where v(t) denotes the input and y(1) is the output: b) Consider a linear system represented by the following differential equation, where x() denotes the input and y(t) is the output: )+4()+4y()x(t) i) Write down its transfer function and frequency response function i) What is the form of the steady state response of the above system due to a periodic input that has...
i dont understand this problem. please show how to solve all parts using MATLAB. thank you. State-Space Representation and Analysis csys canon(sys,type) compute a canonical state-space realization...
i dont understand this problem. please show how to solve all
parts using MATLAB. thank you.
State-Space Representation and Analysis csys canon(sys,type) compute a canonical state-space realization type 'companion': controllable canonical form type modal: modal canonical form poles of a system controllability matrix observability matrix eig(A) ctrb(A,B) obsv(A,C) -7 L-12 0 EX A 2C-ioD0 uestions () Define the system in the state-space form (2) Determine the stability of the system (3) Determine the controllability and the observability of the system....
5. For the following state space systems, determine the controllability matrix and the observability matrix O....
5. For the following state space systems, determine the controllability matrix and the observability matrix O. State whether they are controllable and/or observable based on the matrices. a) * = 12 *_]x+[{]u; y = [1 2]> b) *="2)+ [a] u y = [1 0x 1-1 0 c) i = 0 -2 lo 0 y = [1 0 2]x 0 1 11] 0 x + 1 u -3 10)
Please only solve part C Assume the following state space representation of a discrete-time servomotor system. (As a review for the Final Exam, you might check this state space representation with th...
Please only solve part C
Assume the following state space representation of a discrete-time servomotor system. (As a review for the Final Exam, you might check this state space representation with the difference equation in Problem 1 on Homework 2. This parenthetical comment is not a required part for Homework 8.) 2. 0.048371 u(n) 1.9048x(n) lo.04679 [1,0]x(n) y(n) Compute the open-loop eigenvalues of the system. That is, find the eigenvalues of Ф. Check controllability of the system. Or, answer the...
A linear time-invariant channel has the following step response. 0.8 0.4 0.2ト ? 0 0 2...
A linear time-invariant channel has the following step response. 0.8 0.4 0.2ト ? 0 0 2 4 6810 12 1. How long, in terms of samples, should the width of an input pulse be so that the signal from the output of the channel reaches 80% of its maximum value?
3. a) Find a sate space representation for a linear system represented by the following different...
3. a) Find a sate space representation for a linear system represented by the following differential equation, where v(t) denotes the input and y(0) is the output: 4y(t)- 2(t)-2y(t)3(t) b) Consider a linear system represented by the following differential equation, where st) denotes the input and yt) is the output: )+4() +4y(t)x(t) Write down its transfer function and frequency response function i) What is the form of the steady state response of the above system due to a periodic input...
Don't need to do #1. Please go into detail on how you solved #2 and #3 The Fourier transform of the signal r(t) is given by the following figure (X(jw)0 for w> 20) X(ju) 0.8 0.6 0.4 0.2 -10 10...
Don't need to do #1. Please go into detail on how you solved #2
and #3
The Fourier transform of the signal r(t) is given by the following figure (X(jw)0 for w> 20) X(ju) 0.8 0.6 0.4 0.2 -10 10 20 m Page 4 of 5 Final S09 EE315 Signals & Systems The signal is sampled to obtain the signal withFourier transform Xlw 1. (5p) What is the minimum sampling frequency w 2. (10p) Now suppose that the sampling frequency...
NAME: Q1. (30pts) Solve the quadratic equation 22-(1-4i)2-9+3i 0 by realizing the following plan: (i) find...
NAME: Q1. (30pts) Solve the quadratic equation 22-(1-4i)2-9+3i 0 by realizing the following plan: (i) find the discriminant A of the equation: (i) write a program for a scientific calculator to obtain the polar form r(cos 0 + isin @i of A and the 'first root + isin- cos 2 of degree two of A; (ii) execute the program, fix the results, find another root A of A of degree two (before executing the program, make sure that your caleulator...
a-obtain state space representation
b-obtain system eigen values
c-diagnolize the system
Question (3: (10 Marks) For the following system, U(s) s + 5 (s +2) (s +3) s + 1 Obtain a state space representation in the controllable canonical form. (4 marks) b) Obtain the system eigen values, (3 marks) c) Diagonalize the system. (3 marks) a) Page 2 DQMS 2/3
Question (3: (10 Marks) For the following system, U(s) s + 5 (s +2) (s +3) s + 1...
-1,2,3,4,5,63 and transition matrix Consider a discrete time Markov chain with state space S 0.8 0 0 0.2 0 0 0 0.5 00 0.50 0 0 0.3 0.4 0.2 0.1 0.1 0 0 0.9 0 0 0 0.2 0 0 0.8 0 0.1 0 0.4 0 0 0.5 (a) Draw the transition probability graph associated to this Markov chain. (b) It is known that 1 is a recurrent state. Identify all other recurrent states. (c) How many recurrence classes are...
3. a) Find a state space representation for a linear system represented by the following differential equation, where v(t) denotes the input and y(1) is the output: b) Consider a linear system represented by the following differential equation, where x() denotes the input and y(t) is the output: )+4()+4y()x(t) i) Write down its transfer function and frequency response function i) What is the form of the steady state response of the above system due to a periodic input that has...
i dont understand this problem. please show how to solve all
parts using MATLAB. thank you.
State-Space Representation and Analysis csys canon(sys,type) compute a canonical state-space realization type 'companion': controllable canonical form type modal: modal canonical form poles of a system controllability matrix observability matrix eig(A) ctrb(A,B) obsv(A,C) -7 L-12 0 EX A 2C-ioD0 uestions () Define the system in the state-space form (2) Determine the stability of the system (3) Determine the controllability and the observability of the system....
5. For the following state space systems, determine the controllability matrix and the observability matrix O. State whether they are controllable and/or observable based on the matrices. a) * = 12 *_]x+[{]u; y = [1 2]> b) *="2)+ [a] u y = [1 0x 1-1 0 c) i = 0 -2 lo 0 y = [1 0 2]x 0 1 11] 0 x + 1 u -3 10)
Please only solve part C
Assume the following state space representation of a discrete-time servomotor system. (As a review for the Final Exam, you might check this state space representation with the difference equation in Problem 1 on Homework 2. This parenthetical comment is not a required part for Homework 8.) 2. 0.048371 u(n) 1.9048x(n) lo.04679 [1,0]x(n) y(n) Compute the open-loop eigenvalues of the system. That is, find the eigenvalues of Ф. Check controllability of the system. Or, answer the...
A linear time-invariant channel has the following step response. 0.8 0.4 0.2ト ? 0 0 2 4 6810 12 1. How long, in terms of samples, should the width of an input pulse be so that the signal from the output of the channel reaches 80% of its maximum value?
3. a) Find a sate space representation for a linear system represented by the following differential equation, where v(t) denotes the input and y(0) is the output: 4y(t)- 2(t)-2y(t)3(t) b) Consider a linear system represented by the following differential equation, where st) denotes the input and yt) is the output: )+4() +4y(t)x(t) Write down its transfer function and frequency response function i) What is the form of the steady state response of the above system due to a periodic input...
Don't need to do #1. Please go into detail on how you solved #2
and #3
The Fourier transform of the signal r(t) is given by the following figure (X(jw)0 for w> 20) X(ju) 0.8 0.6 0.4 0.2 -10 10 20 m Page 4 of 5 Final S09 EE315 Signals & Systems The signal is sampled to obtain the signal withFourier transform Xlw 1. (5p) What is the minimum sampling frequency w 2. (10p) Now suppose that the sampling frequency...
NAME: Q1. (30pts) Solve the quadratic equation 22-(1-4i)2-9+3i 0 by realizing the following plan: (i) find the discriminant A of the equation: (i) write a program for a scientific calculator to obtain the polar form r(cos 0 + isin @i of A and the 'first root + isin- cos 2 of degree two of A; (ii) execute the program, fix the results, find another root A of A of degree two (before executing the program, make sure that your caleulator...
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